Internal energy and electromagnetic wave scattering by spheres or cylinders: Fano resonances and their applications to metamaterials

• Grant number: 10/10052-0
• Support type: Scholarships in Brazil - Doctorate
• Effective date (Start): November 01, 2010
• Effective date (End): October 31, 2014
• Field of knowledge: Physical Sciences and Mathematics - Physics - Classical Areas of Phenomenology and Applications
• Principal researcher: Alexandre Souto Martinez
• Grantee: Tiago José Arruda
• Home Institution: Faculdade de Filosofia, Ciências e Letras de Ribeirão Preto (FFCLRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

Electromagnetic wave scattering by single particles with both shapes and optical properties arbitrary finds applications in several areas of knowledge. Usually, the electromagnetic scattering is investigated via measured quantities in the far-field region. However, for inhomogeneous particles, resonances in scattering cross sections may not correspond to the electromagnetic field enhancement in the vicinity of a particle (near-field). This effect can be induced in dielectric nanoparticles with plasmonic coatings, and it has recently been explained in terms of the Fano resonance. The Fano resonance results from the interference between a non-resonant electromagnetic mode (background or continuous) and a resonant discrete mode (localized plasmon resonance), leading to an asymmetric lineshape. To understand how the surface modes in the near-field are connected to the cross section resonances, functionals of the electromagnetic fields within scatterers or in their vicinity are required. In this study, we calculate the electromagnetic energy inside scatterers in both cylindrical and spherical geometries. We obtain a connection between the internal energy and the scattering quantities in the far-field via absorption cross section and energy conservation. We apply our results to dispersive metamaterials, studying scattering properties of coated and chiral spheres in the negative refraction regime, and coated cylinders under oblique incidence of radiation. By the electromagnetic energy inside particles, we demonstrate new off-resonance field enhancement effects and provide analytical tools to analyze these resonances in both single and multiple scattering regimes.

Scientific publications

(7)

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

ARRUDA, TIAGO J.; MARTINEZ, ALEXANDRE S.; PINHEIRO, FELIPE A. Electromagnetic energy and negative asymmetry parameters in coated magneto-optical cylinders: Applications to tunable light transport in disordered systems. Physical Review A, v. 94, n. 3 SEP 15 2016. Web of Science Citations: 9.

ARRUDA, TIAGO J.; MARTINEZ, ALEXANDRE S.; PINHEIRO, FELIPE A. Tunable multiple Fano resonances in magnetic single-layered core-shell particles. Physical Review A, v. 92, n. 2 AUG 19 2015. Web of Science Citations: 10.

ARRUDA, TIAGO JOSE; MARTINEZ, ALEXANDRE SOUTO; PINHEIRO, FELIPE A. Omnidirectional absorption and off-resonance field enhancement in dielectric cylinders coated with graphene layers. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, v. 32, n. 5, p. 943-948, MAY 2015. Web of Science Citations: 9.

ARRUDA, TIAGO JOSE; MARTINEZ, ALEXANDRE SOUTO; PINHEIRO, FELIPE A. Electromagnetic energy within coated cylinders at oblique incidence and applications to graphene coatings. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, v. 31, n. 8, p. 1811-1819, AUG 2014. Web of Science Citations: 11.

ARRUDA, TIAGO J.; PINHEIRO, FELIPE A.; MARTINEZ, ALEXANDRE S. Electromagnetic energy within single-resonance chiral metamaterial spheres. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, v. 30, n. 6, p. 1205-1212, JUN 2013. Web of Science Citations: 4.

ARRUDA, TIAGO J.; MARTINEZ, ALEXANDRE S.; PINHEIRO, FELIPE A. Unconventional Fano effect and off-resonance field enhancement in plasmonic coated spheres. Physical Review A, v. 87, n. 4 APR 30 2013. Web of Science Citations: 21.

ARRUDA, TIAGO J.; PINHEIRO, FELIPE A.; MARTINEZ, ALEXANDRE S. Electromagnetic energy within coated spheres containing dispersive metamaterials. Journal of Optics, v. 14, n. 6 JUN 2012. Web of Science Citations: 12.